Question

Please help! really stuck on this question!

Cameron sponsored a fundraiser that 582 people attended. He raised 6,480. He charged $15 for balcony seats and $10 for ground seats. How many people bought balcony seats (b) and how many bought ground seats (g)?

15b + 10g = 6,480
b + g = 582
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Answer 1

Answer:

132 people bought balcony seats and 450 people bought ground seats.

Step-by-step explanation:

We want to solve the system of equations:

$\left\{ \begin{array}{ll} 15b+10g=6480 \\ b+g=582 \end{array} \right$

We can solve this by using substitution. From the second equation, we can subtract b from both sides:

$g=582-b$

In the first equation, we can divide both sides by five:

$3b+2g=1296$

Substitute:

$3b+2(582-b)=1296$

Distribute:

$3b+1164-2b=1296$

Simplify:

$b+1164=1296$

Solve for b:

$b=132$

Using the modified equation again, substitute:

$g=582-(132)$

Evaluate:

$g=450$

Therefore, 132 people bought balcony seats and 450 people bought ground seats.